
<!DOCTYPE html>

<html>
  
<!-- Mirrored from docs.sympy.org/latest/modules/simplify/index.html by HTTrack Website Copier/3.x [XR&CO'2014], Sat, 15 Jan 2022 03:25:42 GMT -->
<!-- Added by HTTrack --><meta http-equiv="content-type" content="text/html;charset=utf-8" /><!-- /Added by HTTrack -->
<head>
    <meta charset="utf-8" />
    <meta name="viewport" content="width=device-width, initial-scale=1.0" /><meta name="generator" content="Docutils 0.17.1: http://docutils.sourceforge.net/" />

    <title>Simplify &#8212; SymPy 1.9 documentation</title>
    <link rel="stylesheet" type="text/css" href="../../_static/pygments.css" />
    <link rel="stylesheet" type="text/css" href="../../_static/default.css" />
    <link rel="stylesheet" type="text/css" href="../../_static/graphviz.css" />
    <link rel="stylesheet" type="text/css" href="../../_static/plot_directive.css" />
    <link rel="stylesheet" type="text/css" href="../../../../live.sympy.org/static/live-core.css" />
    <link rel="stylesheet" type="text/css" href="../../../../live.sympy.org/static/live-autocomplete.css" />
    <link rel="stylesheet" type="text/css" href="../../../../live.sympy.org/static/live-sphinx.css" />
    
    <script data-url_root="../../" id="documentation_options" src="../../_static/documentation_options.js"></script>
    <script src="../../_static/jquery.js"></script>
    <script src="../../_static/underscore.js"></script>
    <script src="../../_static/doctools.js"></script>
    <script src="../../../../live.sympy.org/static/utilities.js"></script>
    <script src="../../../../live.sympy.org/static/external/classy.js"></script>
    <script src="../../../../live.sympy.org/static/live-core.js"></script>
    <script src="../../../../live.sympy.org/static/live-autocomplete.js"></script>
    <script src="../../../../live.sympy.org/static/live-sphinx.js"></script>
    
    <link rel="shortcut icon" href="../../_static/sympy-notailtext-favicon.ico"/>
    <link href="index.html" rel="canonical" />
    
    <link rel="index" title="Index" href="../../genindex.html" />
    <link rel="search" title="Search" href="../../search.html" />
    <link rel="next" title="Simplify" href="simplify.html" />
    <link rel="prev" title="Sets" href="../sets.html" /> 
  </head><body>
    <div class="related" role="navigation" aria-label="related navigation">
      <h3>Navigation</h3>
      <ul>
        <li class="right" style="margin-right: 10px">
          <a href="../../genindex.html" title="General Index"
             accesskey="I">index</a></li>
        <li class="right" >
          <a href="../../py-modindex.html" title="Python Module Index"
             >modules</a> |</li>
        <li class="right" >
          <a href="simplify.html" title="Simplify"
             accesskey="N">next</a> |</li>
        <li class="right" >
          <a href="../sets.html" title="Sets"
             accesskey="P">previous</a> |</li>
        <li class="nav-item nav-item-0"><a href="../../index.html">SymPy 1.9 documentation</a> &#187;</li>
          <li class="nav-item nav-item-1"><a href="../index.html" accesskey="U">SymPy Modules Reference</a> &#187;</li>
        <li class="nav-item nav-item-this"><a href="#">Simplify</a></li> 
      </ul>
    </div>  

    <div class="document">
      <div class="documentwrapper">
        <div class="bodywrapper">
          <div class="body" role="main">
            
  <section id="simplify">
<h1>Simplify<a class="headerlink" href="#simplify" title="Permalink to this headline">¶</a></h1>
<div class="toctree-wrapper compound">
<ul>
<li class="toctree-l1"><a class="reference internal" href="simplify.html">Simplify</a><ul>
<li class="toctree-l2"><a class="reference internal" href="simplify.html#id1">simplify</a></li>
<li class="toctree-l2"><a class="reference internal" href="simplify.html#separatevars">separatevars</a></li>
<li class="toctree-l2"><a class="reference internal" href="simplify.html#nthroot">nthroot</a></li>
<li class="toctree-l2"><a class="reference internal" href="simplify.html#kroneckersimp">kroneckersimp</a></li>
<li class="toctree-l2"><a class="reference internal" href="simplify.html#besselsimp">besselsimp</a></li>
<li class="toctree-l2"><a class="reference internal" href="simplify.html#hypersimp">hypersimp</a></li>
<li class="toctree-l2"><a class="reference internal" href="simplify.html#hypersimilar">hypersimilar</a></li>
<li class="toctree-l2"><a class="reference internal" href="simplify.html#nsimplify">nsimplify</a></li>
<li class="toctree-l2"><a class="reference internal" href="simplify.html#posify">posify</a></li>
<li class="toctree-l2"><a class="reference internal" href="simplify.html#logcombine">logcombine</a></li>
<li class="toctree-l2"><a class="reference internal" href="simplify.html#module-sympy.simplify.radsimp">Radsimp</a></li>
<li class="toctree-l2"><a class="reference internal" href="simplify.html#module-sympy.simplify.ratsimp">Ratsimp</a></li>
<li class="toctree-l2"><a class="reference internal" href="simplify.html#module-sympy.simplify.trigsimp">Trigonometric simplification</a></li>
<li class="toctree-l2"><a class="reference internal" href="simplify.html#module-sympy.simplify.powsimp">Power simplification</a></li>
<li class="toctree-l2"><a class="reference internal" href="simplify.html#module-sympy.simplify.combsimp">Combinatorial simplification</a></li>
<li class="toctree-l2"><a class="reference internal" href="simplify.html#module-sympy.simplify.sqrtdenest">Square Root Denesting</a></li>
<li class="toctree-l2"><a class="reference internal" href="simplify.html#module-sympy.simplify.cse_main">Common Subexpression Elimination</a></li>
<li class="toctree-l2"><a class="reference internal" href="simplify.html#module-sympy.simplify.hyperexpand">Hypergeometric Function Expansion</a></li>
<li class="toctree-l2"><a class="reference internal" href="simplify.html#module-sympy.simplify.traversaltools">Traversal Tools</a></li>
<li class="toctree-l2"><a class="reference internal" href="simplify.html#module-sympy.simplify.epathtools">EPath Tools</a></li>
</ul>
</li>
<li class="toctree-l1"><a class="reference internal" href="hyperexpand.html">Hypergeometric Expansion</a><ul>
<li class="toctree-l2"><a class="reference internal" href="hyperexpand.html#hypergeometric-function-expansion-algorithm">Hypergeometric Function Expansion Algorithm</a></li>
<li class="toctree-l2"><a class="reference internal" href="hyperexpand.html#notation">Notation</a></li>
<li class="toctree-l2"><a class="reference internal" href="hyperexpand.html#incrementing-and-decrementing-indices">Incrementing and decrementing indices</a></li>
<li class="toctree-l2"><a class="reference internal" href="hyperexpand.html#reduction-of-order">Reduction of Order</a></li>
<li class="toctree-l2"><a class="reference internal" href="hyperexpand.html#moving-around-in-the-parameter-space">Moving Around in the Parameter Space</a></li>
<li class="toctree-l2"><a class="reference internal" href="hyperexpand.html#applying-the-operators">Applying the Operators</a></li>
<li class="toctree-l2"><a class="reference internal" href="hyperexpand.html#loose-ends">Loose Ends</a></li>
<li class="toctree-l2"><a class="reference internal" href="hyperexpand.html#an-example">An example</a></li>
</ul>
</li>
<li class="toctree-l1"><a class="reference internal" href="fu.html">Hongguang Fu’s Trigonometric Simplification</a><ul>
<li class="toctree-l2"><a class="reference internal" href="fu.html#rules">Rules</a></li>
<li class="toctree-l2"><a class="reference internal" href="fu.html#notes">Notes</a></li>
<li class="toctree-l2"><a class="reference internal" href="fu.html#references">References</a></li>
</ul>
</li>
</ul>
</div>
</section>


            <div class="clearer"></div>
          </div>
        </div>
      </div>
      <div class="sphinxsidebar" role="navigation" aria-label="main navigation">
        <div class="sphinxsidebarwrapper">
            <p class="logo"><a href="../../index.html">
              <img class="logo" src="../../_static/sympylogo.png" alt="Logo"/>
            </a></p>
  <h4>Previous topic</h4>
  <p class="topless"><a href="../sets.html"
                        title="previous chapter">Sets</a></p>
  <h4>Next topic</h4>
  <p class="topless"><a href="simplify.html"
                        title="next chapter">Simplify</a></p>
  <div role="note" aria-label="source link">
    <h3>This Page</h3>
    <ul class="this-page-menu">
      <li><a href="../../_sources/modules/simplify/index.rst.txt"
            rel="nofollow">Show Source</a></li>
    </ul>
   </div>
<div id="searchbox" style="display: none" role="search">
  <h3 id="searchlabel">Quick search</h3>
    <div class="searchformwrapper">
    <form class="search" action="https://docs.sympy.org/latest/search.html" method="get">
      <input type="text" name="q" aria-labelledby="searchlabel" autocomplete="off" autocorrect="off" autocapitalize="off" spellcheck="false"/>
      <input type="submit" value="Go" />
    </form>
    </div>
</div>
<script>$('#searchbox').show(0);</script>
        </div>
      </div>
      <div class="clearer"></div>
    </div>
    <div class="related" role="navigation" aria-label="related navigation">
      <h3>Navigation</h3>
      <ul>
        <li class="right" style="margin-right: 10px">
          <a href="../../genindex.html" title="General Index"
             >index</a></li>
        <li class="right" >
          <a href="../../py-modindex.html" title="Python Module Index"
             >modules</a> |</li>
        <li class="right" >
          <a href="simplify.html" title="Simplify"
             >next</a> |</li>
        <li class="right" >
          <a href="../sets.html" title="Sets"
             >previous</a> |</li>
        <li class="nav-item nav-item-0"><a href="../../index.html">SymPy 1.9 documentation</a> &#187;</li>
          <li class="nav-item nav-item-1"><a href="../index.html" >SymPy Modules Reference</a> &#187;</li>
        <li class="nav-item nav-item-this"><a href="#">Simplify</a></li> 
      </ul>
    </div>
    <div class="footer" role="contentinfo">
        &#169; Copyright 2021 SymPy Development Team.
      Last updated on Sep 30, 2021.
      Created using <a href="https://www.sphinx-doc.org/">Sphinx</a> 4.1.2.
    </div>
  </body>

<!-- Mirrored from docs.sympy.org/latest/modules/simplify/index.html by HTTrack Website Copier/3.x [XR&CO'2014], Sat, 15 Jan 2022 03:25:42 GMT -->
</html>